LCM of 280, 414, 488, 906, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 414, 488, 906, 598 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 280, 414, 488, 906, 598. So, keep reading to learn more.
Given numbers are 280,414,488,906,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,414,488,906,598 is 6940304280.
Find LCM of 280,414,488,906,598 with Prime Factorization
| 2 | 280, 414, 488, 906, 598 |
| 2 | 140, 207, 244, 453, 299 |
| 2 | 70, 207, 122, 453, 299 |
| 3 | 35, 207, 61, 453, 299 |
| 23 | 35, 69, 61, 151, 299 |
| 35, 3, 61, 151, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 35 x 3 x 61 x 151 x 13 = 6940304280
Therefore, the lowest common multiple of 280,414,488,906,598 is 6940304280.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
280 x 414 x 488 x 906 x 598 = 30648383700480
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
488 : 1, 2, 4, 8, 61, 122, 244, 488
906 : 1, 2, 3, 6, 151, 302, 453, 906
598 : 1, 2, 13, 23, 26, 46, 299, 598
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,414,488,906,598, is 2.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
414:2x 3x 3x 23
488:2x 2x 2x 61
906:2x 3x 151
598:2x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 23 = 2208
Therefore, the value for common factors is 2208.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 30648383700480/(2x2208)
LCM = 30648383700480/4416
LCM = 6940304280
Thus, we can understand that the LCM of 280,414,488,906,598 is 6940304280.
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FAQs on LCM of 280, 414, 488, 906, 598
1. What is the LCM of 280, 414, 488, 906, 598?
Answer: LCM of 280, 414, 488, 906, 598 is 6940304280.
2. How to calculate the LCM of 280, 414, 488, 906, 598?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 280, 414, 488, 906, 598.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.